Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14578942 |
| Sylow | C157 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34100468, #34100470, #34100488, … |
| maximal normal subgroup of | #34100468, #34100470, #34100488, … |
| maximal quotient of | C22×#19097692, C22×#19097694, C22×#19097702, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1322);